1 Overview
This supplementary document complements the paper Distance vs. time. Articulatory and acoustic consequences of reduced vowel duration in Polish.
The following sections illustrate:
- The articulatory data normalisation procedure.
- Descriptive plots of the raw data.
- Code and plots of the linear regression models.
- Summaries of the models in 3.
- Extra analyses of F0 and F3.
Only relevant R code is shown in this document.
The full code can be inspected on the OSF repository at https://osf.io/hy7nt/?view_only=d06775a2cb1d4786a0442b0f15d73296, in the file code/analysis.Rmd.
2 Normalisation procedure
This is Figure 1 from the paper, which illustrates the normalisation procedure. See paper for details.
## The origin is x = 16.8107470216526, y = -50.1837719761868.
3 Descriptive statistics plots
3.1 Articulatory undershoot
Tongue contours from ultrasound tongue imaging of speaker PL01. Tongue tip on the right.
## The origin is x = 16.8107470216526, y = -50.1837719761868.
## The origin is x = 16.8107470216526, y = -50.1837719761868.
3.2 Duration
Figure 2 from the paper with boxplots and means of vowel duration depending on speech rate and stress.
3.3 Vowel space
3.3.1 Acoustic vowel space
3.3.2 Articulatory vowel space
3.3.3 Save
4 Inferential statistics
4.1 VIF (multicollinearity)
VIF values below 3 indicate absence of multicollinearity (Zuur, Ieno, and Elphick 2010). For all predictors, VIF < 3.
## Variables VIF
## 1 duration 2.169934
## 2 f1.z 1.379401
## 3 f2.z 1.208097
## 4 f0.z 1.122029
## 5 rate 1.639475
## 6 stress 1.451903
4.2 Duration
## NOTE: rate:stress is not a high-order term in the model
## refitting model(s) with ML (instead of REML)
## Data: midpoint_rotated
## Models:
## dur.lmer3: duration.log ~ (rate + stress | speaker) + (1 | frame) + rate *
## dur.lmer3: V1 + stress
## dur.lmer2: duration.log ~ (rate + stress | speaker) + (1 | frame) + rate *
## dur.lmer2: (V1 + stress)
## dur.lmer.full: duration.log ~ (rate + stress | speaker) + (1 | frame) + rate *
## dur.lmer.full: V1 * stress
## npar AIC BIC logLik deviance Chisq Df Pr(>Chisq)
## dur.lmer3 31 -291.76 -128.32 176.88 -353.76
## dur.lmer2 33 -341.16 -167.17 203.58 -407.16 53.398 2 2.539e-12 ***
## dur.lmer.full 48 -375.61 -122.53 235.81 -471.61 64.450 15 4.265e-08 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
4.3 F1
## refitting model(s) with ML (instead of REML)
## Data: midpoint_rotated
## Models:
## f1.lmer.7: f1.z ~ (1 + stress | speaker) + (1 | frame) + duration
## f1.lmer.6: f1.z ~ (1 + stress | speaker) + (1 | frame) + V1
## f1.lmer.5: f1.z ~ (1 + stress | speaker) + (1 | frame) + V1 + duration
## f1.lmer.4: f1.z ~ (1 + stress | speaker) + (1 | frame) + V1 * duration
## f1.lmer.3: f1.z ~ (1 + stress | speaker) + (1 | frame) + V1 * duration +
## f1.lmer.3: stress
## f1.lmer.2: f1.z ~ (1 + stress | speaker) + (1 | frame) + V1 * duration +
## f1.lmer.2: V1 * stress
## f1.lmer.full: f1.z ~ (1 + stress | speaker) + (1 | frame) + V1 * duration *
## f1.lmer.full: stress
## npar AIC BIC logLik deviance Chisq Df Pr(>Chisq)
## f1.lmer.7 7 2444.9 2481.8 -1215.47 2430.9
## f1.lmer.6 11 2055.4 2113.3 -1016.68 2033.4 397.588 4 < 2.2e-16 ***
## f1.lmer.5 12 1964.6 2027.9 -970.30 1940.6 92.767 1 < 2.2e-16 ***
## f1.lmer.4 17 1693.0 1782.7 -829.52 1659.0 281.553 5 < 2.2e-16 ***
## f1.lmer.3 18 1683.7 1778.6 -823.87 1647.7 11.305 1 0.0007730 ***
## f1.lmer.2 23 1656.5 1777.8 -805.24 1610.5 37.245 5 5.349e-07 ***
## f1.lmer.full 29 1645.9 1798.8 -793.93 1587.9 22.620 6 0.0009342 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
4.4 F2
## refitting model(s) with ML (instead of REML)
## Data: midpoint_rotated
## Models:
## f2.lmer.7: f2.z ~ (1 + stress | speaker) + (1 | frame) + duration
## f2.lmer.6: f2.z ~ (1 + stress | speaker) + (1 | frame) + V1
## f2.lmer.5: f2.z ~ (1 + stress | speaker) + (1 | frame) + V1 + duration
## f2.lmer.4: f2.z ~ (1 + stress | speaker) + (1 | frame) + V1 * duration
## f2.lmer.3: f2.z ~ (1 + stress | speaker) + (1 | frame) + V1 * duration +
## f2.lmer.3: stress
## f2.lmer.2: f2.z ~ (1 + stress | speaker) + (1 | frame) + V1 * duration +
## f2.lmer.2: V1 * stress
## f2.lmer.full: f2.z ~ (1 + stress | speaker) + (1 | frame) + V1 * duration *
## f2.lmer.full: stress
## npar AIC BIC logLik deviance Chisq Df Pr(>Chisq)
## f2.lmer.7 7 1093.20 1130.11 -539.60 1079.20
## f2.lmer.6 11 863.11 921.11 -420.55 841.11 238.0945 4 < 2.2e-16 ***
## f2.lmer.5 12 864.44 927.71 -420.22 840.44 0.6667 1 0.4142
## f2.lmer.4 17 690.02 779.65 -328.01 656.02 184.4255 5 < 2.2e-16 ***
## f2.lmer.3 18 689.78 784.68 -326.89 653.78 2.2395 1 0.1345
## f2.lmer.2 23 664.61 785.88 -309.31 618.61 35.1637 5 1.396e-06 ***
## f2.lmer.full 29 673.24 826.14 -307.62 615.24 3.3769 6 0.7603
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
4.5 Z1
## refitting model(s) with ML (instead of REML)
## Data: midpoint_rotated
## Models:
## z1.lmer.7: z1 ~ (1 + stress | speaker) + (1 | frame) + duration
## z1.lmer.6: z1 ~ (1 + stress | speaker) + (1 | frame) + V1
## z1.lmer.5: z1 ~ (1 + stress | speaker) + (1 | frame) + V1 + duration
## z1.lmer.4: z1 ~ (1 + stress | speaker) + (1 | frame) + V1 * duration
## z1.lmer.3: z1 ~ (1 + stress | speaker) + (1 | frame) + V1 * duration + stress
## z1.lmer.2: z1 ~ (1 + stress | speaker) + (1 | frame) + V1 * duration + V1 *
## z1.lmer.2: stress
## z1.lmer.full: z1 ~ (1 + stress | speaker) + (1 | frame) + V1 * duration * stress
## npar AIC BIC logLik deviance Chisq Df Pr(>Chisq)
## z1.lmer.7 7 1235.4 1272.3 -610.70 1221.4
## z1.lmer.6 11 1306.0 1364.0 -642.03 1284.0 0.0000 4 1.0000
## z1.lmer.5 12 1214.2 1277.4 -595.07 1190.2 93.9022 1 <2e-16 ***
## z1.lmer.4 17 1073.8 1163.5 -519.92 1039.8 150.3004 5 <2e-16 ***
## z1.lmer.3 18 1074.4 1169.3 -519.21 1038.4 1.4195 1 0.2335
## z1.lmer.2 23 1076.5 1197.7 -515.23 1030.5 7.9689 5 0.1580
## z1.lmer.full 29 1087.6 1240.5 -514.82 1029.6 0.8246 6 0.9914
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
4.6 Z2
## Warning: Model failed to converge with 1 negative eigenvalue: -5.0e+02
## Warning: Model failed to converge with 1 negative eigenvalue: -2.1e-01
4.7 Composite plot
5 Model summaries
5.1 Duration
| duration.log | |||
|---|---|---|---|
| Predictors | Estimates | CI | p |
| (Intercept) | 3.7705 | 3.6315 – 3.9096 | <0.001 |
| rate [normal] | 0.1947 | 0.0877 – 0.3017 | 0.00036 |
| rate [slow] | 0.4496 | 0.3067 – 0.5924 | <0.001 |
| V11 | 0.1436 | 0.0201 – 0.2671 | 0.02269 |
| V12 | -0.0082 | -0.1557 – 0.1392 | 0.91282 |
| V13 | 0.0034 | -0.1641 – 0.1709 | 0.96803 |
| V14 | 0.0035 | -0.1199 – 0.1270 | 0.95508 |
| V15 | -0.2249 | -0.3924 – -0.0575 | 0.00848 |
| stress [stressed] | 0.2263 | 0.1768 – 0.2757 | <0.001 |
| rate [normal] * V11 | -0.0110 | -0.0906 – 0.0686 | 0.78591 |
| rate [slow] * V11 | -0.0450 | -0.1246 – 0.0346 | 0.26793 |
| rate [normal] * V12 | -0.0113 | -0.0909 – 0.0683 | 0.78040 |
| rate [slow] * V12 | 0.0020 | -0.0776 – 0.0816 | 0.96022 |
| rate [normal] * V13 | 0.0542 | -0.0254 – 0.1338 | 0.18232 |
| rate [slow] * V13 | -0.0227 | -0.1023 – 0.0569 | 0.57624 |
| rate [normal] * V14 | -0.0051 | -0.0847 – 0.0745 | 0.90081 |
| rate [slow] * V14 | 0.0217 | -0.0579 – 0.1013 | 0.59332 |
| rate [normal] * V15 | -0.0414 | -0.1211 – 0.0382 | 0.30752 |
| rate [slow] * V15 | 0.0052 | -0.0744 – 0.0848 | 0.89893 |
|
rate [normal] * stress [stressed] |
0.1479 | 0.0975 – 0.1982 | <0.001 |
|
rate [slow] * stress [stressed] |
0.1799 | 0.1296 – 0.2303 | <0.001 |
| V11 * stress [stressed] | 0.1206 | 0.0410 – 0.2002 | 0.00298 |
| V12 * stress [stressed] | -0.0503 | -0.1299 – 0.0293 | 0.21548 |
| V13 * stress [stressed] | -0.0750 | -0.1546 – 0.0047 | 0.06498 |
| V14 * stress [stressed] | 0.0292 | -0.0504 – 0.1088 | 0.47278 |
| V15 * stress [stressed] | -0.0082 | -0.0878 – 0.0714 | 0.84070 |
|
(rate [normal] * V11) * stress [stressed] |
-0.0257 | -0.1383 – 0.0869 | 0.65480 |
|
(rate [slow] * V11) * stress [stressed] |
-0.0559 | -0.1684 – 0.0567 | 0.33085 |
|
(rate [normal] * V12) * stress [stressed] |
-0.0420 | -0.1545 – 0.0706 | 0.46501 |
|
(rate [slow] * V12) * stress [stressed] |
-0.0430 | -0.1555 – 0.0696 | 0.45454 |
|
(rate [normal] * V13) * stress [stressed] |
-0.0722 | -0.1848 – 0.0403 | 0.20856 |
|
(rate [slow] * V13) * stress [stressed] |
-0.0783 | -0.1909 – 0.0343 | 0.17273 |
|
(rate [normal] * V14) * stress [stressed] |
0.0017 | -0.1109 – 0.1142 | 0.97691 |
|
(rate [slow] * V14) * stress [stressed] |
0.0339 | -0.0787 – 0.1465 | 0.55538 |
|
(rate [normal] * V15) * stress [stressed] |
0.1177 | 0.0051 – 0.2303 | 0.04043 |
|
(rate [slow] * V15) * stress [stressed] |
0.1148 | 0.0022 – 0.2274 | 0.04562 |
| Random Effects | |||
| σ2 | 0.0396 | ||
| τ00 frame | 0.0154 | ||
| τ00 speaker | 0.0351 | ||
| τ11 speaker.ratenormal | 0.0265 | ||
| τ11 speaker.rateslow | 0.0498 | ||
| τ11 speaker.stressstressed | 0.0031 | ||
| ρ01 speaker.ratenormal | -0.8117 | ||
| ρ01 speaker.rateslow | -0.7847 | ||
| ρ01 speaker.stressstressed | -0.4845 | ||
| N speaker | 10 | ||
| N frame | 12 | ||
| Observations | 1440 | ||
| Marginal R2 / Conditional R2 | 0.706 / NA | ||
5.2 F1
| f1.z | |||
|---|---|---|---|
| Predictors | Estimates | CI | p |
| (Intercept) | -0.5940 | -0.7829 – -0.4052 | <0.001 |
| V11 | 0.3813 | 0.0395 – 0.7230 | 0.02879 |
| V12 | 0.0844 | -0.2916 – 0.4603 | 0.65998 |
| V13 | -0.2855 | -0.6862 – 0.1152 | 0.16256 |
| V14 | 0.3131 | -0.0176 – 0.6437 | 0.06351 |
| V15 | -0.4903 | -0.9025 – -0.0780 | 0.01976 |
| duration | 0.0073 | 0.0054 – 0.0091 | <0.001 |
| stress [stressed] | 0.3986 | 0.2378 – 0.5594 | <0.001 |
| V11 * duration | 0.0176 | 0.0136 – 0.0216 | <0.001 |
| V12 * duration | -0.0008 | -0.0050 – 0.0034 | 0.70990 |
| V13 * duration | -0.0095 | -0.0131 – -0.0058 | <0.001 |
| V14 * duration | -0.0028 | -0.0069 – 0.0013 | 0.18000 |
| V15 * duration | 0.0018 | -0.0032 – 0.0069 | 0.47562 |
| V11 * stress [stressed] | 0.4096 | 0.0591 – 0.7601 | 0.02201 |
| V12 * stress [stressed] | -0.2227 | -0.5369 – 0.0915 | 0.16480 |
| V13 * stress [stressed] | -0.2530 | -0.5546 – 0.0487 | 0.10026 |
| V14 * stress [stressed] | 0.1610 | -0.1479 – 0.4699 | 0.30707 |
| V15 * stress [stressed] | 0.1846 | -0.1275 – 0.4967 | 0.24627 |
|
duration * stress [stressed] |
-0.0031 | -0.0053 – -0.0009 | 0.00503 |
|
(V11 * duration) * stress [stressed] |
-0.0054 | -0.0101 – -0.0007 | 0.02419 |
|
(V12 * duration) * stress [stressed] |
0.0068 | 0.0018 – 0.0117 | 0.00715 |
|
(V13 * duration) * stress [stressed] |
0.0012 | -0.0033 – 0.0057 | 0.60775 |
|
(V14 * duration) * stress [stressed] |
0.0009 | -0.0037 – 0.0056 | 0.69239 |
|
(V15 * duration) * stress [stressed] |
-0.0068 | -0.0125 – -0.0011 | 0.01866 |
| Random Effects | |||
| σ2 | 0.1722 | ||
| τ00 frame | 0.0694 | ||
| τ00 speaker | 0.0019 | ||
| τ11 speaker.stressstressed | 0.0138 | ||
| ρ01 speaker | -1.0000 | ||
| N speaker | 10 | ||
| N frame | 12 | ||
| Observations | 1440 | ||
| Marginal R2 / Conditional R2 | 0.837 / NA | ||
5.3 F2
| f2.z | |||
|---|---|---|---|
| Predictors | Estimates | CI | p |
| (Intercept) | -0.0561 | -0.2399 – 0.1277 | 0.54996 |
| V11 | -0.3844 | -0.6940 – -0.0747 | 0.01497 |
| V12 | 0.2754 | -0.0833 – 0.6341 | 0.13241 |
| V13 | 1.1731 | 0.7746 – 1.5716 | <0.001 |
| V14 | -0.5199 | -0.8234 – -0.2164 | 0.00079 |
| V15 | -0.6727 | -1.0771 – -0.2683 | 0.00111 |
| duration | 0.0007 | -0.0006 – 0.0020 | 0.28282 |
| stress [stressed] | 0.0500 | -0.0510 – 0.1509 | 0.33200 |
| V11 * duration | 0.0012 | -0.0017 – 0.0040 | 0.42632 |
| V12 * duration | 0.0028 | -0.0002 – 0.0058 | 0.06680 |
| V13 * duration | 0.0060 | 0.0034 – 0.0086 | 0.00001 |
| V14 * duration | -0.0062 | -0.0091 – -0.0033 | 0.00003 |
| V15 * duration | -0.0058 | -0.0094 – -0.0022 | 0.00158 |
| V11 * stress [stressed] | 0.0382 | -0.2118 – 0.2882 | 0.76481 |
| V12 * stress [stressed] | -0.0225 | -0.2460 – 0.2009 | 0.84330 |
| V13 * stress [stressed] | 0.2911 | 0.0761 – 0.5061 | 0.00797 |
| V14 * stress [stressed] | -0.1243 | -0.3448 – 0.0962 | 0.26927 |
| V15 * stress [stressed] | -0.2552 | -0.4777 – -0.0328 | 0.02451 |
|
duration * stress [stressed] |
-0.0004 | -0.0019 – 0.0011 | 0.59982 |
|
(V11 * duration) * stress [stressed] |
-0.0008 | -0.0042 – 0.0025 | 0.62985 |
|
(V12 * duration) * stress [stressed] |
0.0003 | -0.0032 – 0.0038 | 0.85782 |
|
(V13 * duration) * stress [stressed] |
-0.0023 | -0.0055 – 0.0009 | 0.15485 |
|
(V14 * duration) * stress [stressed] |
0.0015 | -0.0018 – 0.0048 | 0.38169 |
|
(V15 * duration) * stress [stressed] |
0.0012 | -0.0029 – 0.0052 | 0.56628 |
| Random Effects | |||
| σ2 | 0.0879 | ||
| τ00 frame | 0.0829 | ||
| τ00 speaker | 0.0000 | ||
| τ11 speaker.stressstressed | 0.0000 | ||
| ρ01 speaker | |||
| N speaker | 10 | ||
| N frame | 12 | ||
| Observations | 1440 | ||
| Marginal R2 / Conditional R2 | 0.908 / NA | ||
5.4 Z1
| z1 | |||
|---|---|---|---|
| Predictors | Estimates | CI | p |
| (Intercept) | -0.2709 | -0.4129 – -0.1289 | 0.00018 |
| V11 | 0.1673 | -0.0947 – 0.4294 | 0.21071 |
| V12 | -0.1629 | -0.4441 – 0.1183 | 0.25625 |
| V13 | -0.5549 | -0.8481 – -0.2616 | 0.00021 |
| V14 | 0.2548 | 0.0028 – 0.5067 | 0.04750 |
| V15 | 0.1165 | -0.1877 – 0.4207 | 0.45295 |
| duration | 0.0043 | 0.0027 – 0.0058 | <0.001 |
| stress [stressed] | -0.0168 | -0.1472 – 0.1136 | 0.80074 |
| V11 * duration | 0.0072 | 0.0038 – 0.0105 | 0.00002 |
| V12 * duration | -0.0003 | -0.0038 – 0.0031 | 0.85866 |
| V13 * duration | -0.0052 | -0.0082 – -0.0022 | 0.00074 |
| V14 * duration | 0.0053 | 0.0019 – 0.0086 | 0.00233 |
| V15 * duration | -0.0023 | -0.0065 – 0.0019 | 0.27713 |
| V11 * stress [stressed] | -0.0575 | -0.3471 – 0.2320 | 0.69692 |
| V12 * stress [stressed] | 0.0712 | -0.1883 – 0.3307 | 0.59073 |
| V13 * stress [stressed] | -0.0877 | -0.3367 – 0.1614 | 0.49029 |
| V14 * stress [stressed] | 0.0318 | -0.2233 – 0.2870 | 0.80673 |
| V15 * stress [stressed] | 0.0441 | -0.2138 – 0.3021 | 0.73727 |
|
duration * stress [stressed] |
-0.0005 | -0.0023 – 0.0014 | 0.61937 |
|
(V11 * duration) * stress [stressed] |
-0.0007 | -0.0046 – 0.0032 | 0.72195 |
|
(V12 * duration) * stress [stressed] |
0.0001 | -0.0040 – 0.0042 | 0.95233 |
|
(V13 * duration) * stress [stressed] |
0.0012 | -0.0026 – 0.0049 | 0.54405 |
|
(V14 * duration) * stress [stressed] |
0.0003 | -0.0036 – 0.0041 | 0.89076 |
|
(V15 * duration) * stress [stressed] |
-0.0013 | -0.0060 – 0.0034 | 0.59122 |
| Random Effects | |||
| σ2 | 0.1174 | ||
| τ00 frame | 0.0327 | ||
| τ00 speaker | 0.0026 | ||
| τ11 speaker.stressstressed | 0.0072 | ||
| ρ01 speaker | -1.0000 | ||
| N speaker | 10 | ||
| N frame | 12 | ||
| Observations | 1440 | ||
| Marginal R2 / Conditional R2 | 0.734 / NA | ||
5.5 Z2
| z2 | |||
|---|---|---|---|
| Predictors | Estimates | CI | p |
| (Intercept) | 0.1281 | -0.1131 – 0.3692 | 0.29785 |
| V11 | -0.2655 | -0.6556 – 0.1246 | 0.18225 |
| V12 | 0.3258 | -0.1381 – 0.7898 | 0.16868 |
| V13 | 1.0904 | 0.5657 – 1.6151 | 0.00005 |
| V14 | -0.5343 | -0.9192 – -0.1493 | 0.00653 |
| V15 | -0.5867 | -1.1162 – -0.0573 | 0.02985 |
| duration | -0.0020 | -0.0033 – -0.0006 | 0.00405 |
| stress [stressed] | -0.0448 | -0.1505 – 0.0609 | 0.40641 |
| V11 * duration | -0.0007 | -0.0036 – 0.0023 | 0.64961 |
| V12 * duration | 0.0008 | -0.0023 – 0.0039 | 0.60673 |
| V13 * duration | 0.0042 | 0.0015 – 0.0069 | 0.00218 |
| V14 * duration | -0.0044 | -0.0074 – -0.0013 | 0.00456 |
| V15 * duration | -0.0050 | -0.0087 – -0.0013 | 0.00748 |
| V11 * stress [stressed] | 0.0914 | -0.1664 – 0.3492 | 0.48723 |
| V12 * stress [stressed] | -0.0858 | -0.3164 – 0.1448 | 0.46602 |
| V13 * stress [stressed] | 0.0211 | -0.2007 – 0.2429 | 0.85202 |
| V14 * stress [stressed] | 0.0862 | -0.1411 – 0.3135 | 0.45734 |
| V15 * stress [stressed] | -0.1903 | -0.4197 – 0.0390 | 0.10387 |
|
duration * stress [stressed] |
0.0009 | -0.0007 – 0.0025 | 0.26995 |
|
(V11 * duration) * stress [stressed] |
-0.0017 | -0.0052 – 0.0017 | 0.32639 |
|
(V12 * duration) * stress [stressed] |
0.0005 | -0.0031 – 0.0041 | 0.77948 |
|
(V13 * duration) * stress [stressed] |
0.0007 | -0.0026 – 0.0041 | 0.65806 |
|
(V14 * duration) * stress [stressed] |
-0.0018 | -0.0052 – 0.0017 | 0.31172 |
|
(V15 * duration) * stress [stressed] |
0.0034 | -0.0008 – 0.0075 | 0.11437 |
| Random Effects | |||
| σ2 | 0.0934 | ||
| τ00 frame | 0.1539 | ||
| τ00 speaker | 0.0000 | ||
| τ11 speaker.stressstressed | 0.0008 | ||
| ρ01 speaker | |||
| N speaker | 10 | ||
| N frame | 12 | ||
| Observations | 1440 | ||
| Marginal R2 / Conditional R2 | 0.874 / NA | ||
6 Further exploratory analyses
6.1 F0
## Warning: Removed 4 rows containing missing values (geom_point).
## Warning: Removed 4 rows containing missing values (geom_point).
| f0.z | |||
|---|---|---|---|
| Predictors | Estimates | CI | p |
| (Intercept) | -0.93 | -1.30 – -0.55 | <0.001 |
| V11 | 0.30 | -0.18 – 0.77 | 0.217 |
| V12 | -0.21 | -0.67 – 0.24 | 0.361 |
| V13 | 0.07 | -0.37 – 0.51 | 0.747 |
| V14 | -0.04 | -0.48 – 0.40 | 0.853 |
| V15 | 0.13 | -0.35 – 0.60 | 0.595 |
| duration | 0.01 | 0.01 – 0.02 | <0.001 |
| stress [stressed] | 0.81 | 0.11 – 1.51 | 0.023 |
| V11 * duration | -0.01 | -0.02 – -0.00 | 0.005 |
| V12 * duration | 0.00 | -0.01 – 0.01 | 0.802 |
| V13 * duration | -0.00 | -0.01 – 0.00 | 0.591 |
| V14 * duration | -0.00 | -0.01 – 0.01 | 0.639 |
| V15 * duration | 0.01 | 0.00 – 0.02 | 0.013 |
| V11 * stress [stressed] | -0.28 | -0.91 – 0.35 | 0.379 |
| V12 * stress [stressed] | 0.42 | -0.14 – 0.98 | 0.142 |
| V13 * stress [stressed] | -0.28 | -0.81 – 0.26 | 0.311 |
| V14 * stress [stressed] | 0.01 | -0.54 – 0.56 | 0.966 |
| V15 * stress [stressed] | 0.31 | -0.24 – 0.87 | 0.268 |
|
duration * stress [stressed] |
-0.01 | -0.01 – -0.00 | <0.001 |
|
(V11 * duration) * stress [stressed] |
0.01 | -0.00 – 0.01 | 0.218 |
|
(V12 * duration) * stress [stressed] |
-0.01 | -0.02 – 0.00 | 0.091 |
|
(V13 * duration) * stress [stressed] |
0.01 | -0.00 – 0.01 | 0.190 |
|
(V14 * duration) * stress [stressed] |
0.00 | -0.01 – 0.01 | 0.938 |
|
(V15 * duration) * stress [stressed] |
-0.01 | -0.02 – 0.00 | 0.194 |
| Random Effects | |||
| σ2 | 0.54 | ||
| τ00 frame | 0.03 | ||
| τ00 speaker | 0.24 | ||
| τ11 speaker.stressstressed | 1.11 | ||
| ρ01 speaker | -1.00 | ||
| N speaker | 10 | ||
| N frame | 12 | ||
| Observations | 1436 | ||
| Marginal R2 / Conditional R2 | 0.257 / NA | ||
6.2 F3
## `geom_smooth()` using formula 'y ~ x'
7 Session info
## ─ Session info ───────────────────────────────────────────────────────────────
## setting value
## version R version 4.0.3 (2020-10-10)
## os macOS Big Sur 10.16
## system x86_64, darwin17.0
## ui X11
## language (EN)
## collate en_US.UTF-8
## ctype en_US.UTF-8
## tz Europe/Berlin
## date 2021-04-02
##
## ─ Packages ───────────────────────────────────────────────────────────────────
## ! package * version date lib
## P abind 1.4-5 2016-07-21 [?]
## P assertthat 0.2.1 2019-03-21 [?]
## P backports 1.2.1 2020-12-09 [?]
## P bayestestR 0.8.2 2021-01-26 [?]
## P bookdown 0.21 2020-10-13 [?]
## P boot 1.3-27 2021-02-12 [?]
## P broom 0.7.5 2021-02-19 [?]
## P cachem 1.0.4 2021-02-13 [?]
## P callr 3.5.1 2020-10-13 [?]
## P car 3.0-10 2020-09-29 [?]
## P carData * 3.0-4 2020-05-22 [?]
## P cellranger 1.1.0 2016-07-27 [?]
## P cli 2.3.1 2021-02-23 [?]
## P codetools 0.2-18 2020-11-04 [4]
## P colorspace 2.0-0 2020-11-11 [?]
## P crayon 1.4.1 2021-02-08 [?]
## P curl 4.3 2019-12-02 [?]
## P data.table 1.14.0 2021-02-21 [?]
## P DBI 1.1.1 2021-01-15 [?]
## P dbplyr 2.1.0 2021-02-03 [?]
## P desc 1.3.0 2021-03-05 [?]
## P devtools 2.3.2 2020-09-18 [?]
## P digest 0.6.27 2020-10-24 [?]
## P dplyr * 1.0.5 2021-03-05 [?]
## P effects * 4.2-0 2020-08-11 [?]
## P effectsize 0.4.4 2021-03-14 [?]
## P ellipsis 0.3.1 2020-05-15 [?]
## P emmeans 1.5.5-1 2021-03-21 [?]
## P estimability 1.3 2018-02-11 [?]
## P evaluate 0.14 2019-05-28 [?]
## P fansi 0.4.2 2021-01-15 [?]
## P farver 2.1.0 2021-02-28 [?]
## P fastmap 1.1.0 2021-01-25 [?]
## P forcats * 0.5.1 2021-01-27 [?]
## P foreign 0.8-81 2020-12-22 [?]
## P fs 1.5.0 2020-07-31 [?]
## P generics 0.1.0 2020-10-31 [?]
## P ggeffects 1.0.2 2021-03-17 [?]
## P ggplot2 * 3.3.3 2020-12-30 [?]
## P ggpubr * 0.4.0 2020-06-27 [?]
## P ggrepel * 0.9.1 2021-01-15 [?]
## P ggsignif 0.6.1 2021-02-23 [?]
## P glue 1.4.2 2020-08-27 [?]
## P gtable 0.3.0 2019-03-25 [?]
## P haven 2.3.1 2020-06-01 [?]
## P here 1.0.1 2020-12-13 [?]
## P highr 0.8 2019-03-20 [?]
## P hms 1.0.0 2021-01-13 [?]
## P htmltools 0.5.1.1 2021-01-22 [?]
## P httr 1.4.2 2020-07-20 [?]
## P insight 0.13.1 2021-02-22 [?]
## P jsonlite 1.7.2 2020-12-09 [?]
## P knitr 1.31 2021-01-27 [?]
## P labeling 0.4.2 2020-10-20 [?]
## P lattice 0.20-41 2020-04-02 [4]
## P lifecycle 1.0.0 2021-02-15 [?]
## P lme4 * 1.1-26 2020-12-01 [?]
## P lmerTest * 3.1-3 2020-10-23 [?]
## P lubridate 1.7.10 2021-02-26 [?]
## P magrittr 2.0.1 2020-11-17 [?]
## P MASS 7.3-53.1 2021-02-12 [?]
## P Matrix * 1.3-2 2021-01-06 [?]
## P memoise 2.0.0 2021-01-26 [?]
## P mgcv 1.8-34 2021-02-16 [?]
## P minqa 1.2.4 2014-10-09 [?]
## P mitools 2.4 2019-04-26 [?]
## P modelr 0.1.8 2020-05-19 [?]
## P munsell 0.5.0 2018-06-12 [?]
## P mvtnorm 1.1-1 2020-06-09 [?]
## P nlme 3.1-152 2021-02-04 [?]
## P nloptr 1.2.2.2 2020-07-02 [?]
## P nnet 7.3-15 2021-01-24 [?]
## P numDeriv 2016.8-1.1 2019-06-06 [?]
## P openxlsx 4.2.3 2020-10-27 [?]
## P optimx * 2020-4.2 2020-04-08 [?]
## P parameters 0.12.0 2021-02-21 [?]
## P patchwork * 1.1.1 2020-12-17 [?]
## P performance * 0.7.0 2021-02-03 [?]
## P pillar 1.5.1 2021-03-05 [?]
## P pkgbuild 1.2.0 2020-12-15 [?]
## P pkgconfig 2.0.3 2019-09-22 [?]
## P pkgload 1.2.0 2021-02-23 [?]
## P prettyunits 1.1.1 2020-01-24 [?]
## P processx 3.5.0 2021-03-23 [?]
## P ps 1.6.0 2021-02-28 [?]
## P purrr * 0.3.4 2020-04-17 [?]
## P R6 2.5.0 2020-10-28 [?]
## P raster * 3.4-5 2020-11-14 [?]
## P Rcpp 1.0.6 2021-01-15 [?]
## P readr * 1.4.0 2020-10-05 [?]
## P readxl 1.3.1 2019-03-13 [?]
## P remotes 2.2.0 2020-07-21 [?]
## P reprex 1.0.0 2021-01-27 [?]
## P rio 0.5.26 2021-03-01 [?]
## P rlang 0.4.10 2020-12-30 [?]
## P rmarkdown 2.7 2021-02-19 [?]
## P rmdformats 1.0.1 2021-01-13 [?]
## P rprojroot 2.0.2 2020-11-15 [?]
## P rstatix 0.7.0 2021-02-13 [?]
## P rstudioapi 0.13 2020-11-12 [?]
## P rticulate * 1.6.0 2021-03-18 [?]
## P rvest 1.0.0 2021-03-09 [?]
## P scales 1.1.1 2020-05-11 [?]
## P sessioninfo 1.1.1 2018-11-05 [?]
## P sjlabelled 1.1.7 2020-09-24 [?]
## P sjmisc 2.8.6 2021-01-07 [?]
## P sjPlot * 2.8.7 2021-01-10 [?]
## P sjstats 0.18.1 2021-01-09 [?]
## P sp * 1.4-5 2021-01-10 [?]
## P statmod 1.4.35 2020-10-19 [?]
## P stringi 1.5.3 2020-09-09 [?]
## P stringr * 1.4.0 2019-02-10 [?]
## P survey 4.0 2020-04-03 [?]
## P survival 3.2-10 2021-03-16 [?]
## P testthat 3.0.2 2021-02-14 [?]
## P tibble * 3.1.0 2021-02-25 [?]
## P tidymv 3.2.0 2021-01-05 [?]
## P tidyr * 1.1.3 2021-03-03 [?]
## P tidyselect 1.1.0 2020-05-11 [?]
## P tidyverse * 1.3.0 2019-11-21 [?]
## P usdm * 1.1-18 2017-06-25 [?]
## P usethis 2.0.1 2021-02-10 [?]
## P utf8 1.2.1 2021-03-12 [?]
## P vctrs 0.3.6 2020-12-17 [?]
## P withr 2.4.1 2021-01-26 [?]
## P xfun 0.22 2021-03-11 [?]
## P xml2 1.3.2 2020-04-23 [?]
## P xtable 1.8-4 2019-04-21 [?]
## P yaml 2.2.1 2020-02-01 [?]
## P zip 2.1.1 2020-08-27 [?]
## source
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##
## [1] /Users/ste/repos/polish-reduction/renv/library/R-4.0/x86_64-apple-darwin17.0
## [2] /private/var/folders/yj/b5zvw9lj2zg6tp920wyg14y80000gn/T/RtmpeHTEWO/renv-system-library
## [3] /Library/Frameworks/R.framework/Versions/4.0/Resources/site-library
## [4] /Library/Frameworks/R.framework/Versions/4.0/Resources/library
##
## P ── Loaded and on-disk path mismatch.